Question

the number of cells in a tumor doubles every 4.5 months. if the tumor begins with a single cell, how many cells will there be after 2 years? after 3 years?

how may cells will there be after 2 years?
(do not round until the final answer. then round to the nearest whole number as needed.)

Explanation:

Identify given parameters

Using the Doubling Time and Exponential Growth knowledge points

$$
LATEXBLOCK0
$$

Formulate growth equation

Using the Exponential Growth knowledge point

$$ N(t) = N_0 \cdot 2^{\frac{t}{T_d}} $$

Calculate number of cells

Using the Exponential Growth knowledge point

$$
LATEXBLOCK1
$$

Round to nearest whole number

Using the Exponential Growth knowledge point

$$ N(24) \approx 40 $$

Answer:

How may cells will there be after 2 years?
<blank>40</blank>
(Do not round until the final answer. Then round to the nearest whole number as needed.)